What is the Least Common Multiple of 35667 and 35685?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 35667 and 35685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35667 and 35685, than apply into the LCM equation.

GCF(35667,35685) = 9
LCM(35667,35685) = ( 35667 × 35685) / 9
LCM(35667,35685) = 1272776895 / 9
LCM(35667,35685) = 141419655

Least Common Multiple (LCM) of 35667 and 35685 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35667 and 35685. First we will calculate the prime factors of 35667 and 35685.

Prime Factorization of 35667

Prime Factorization of 35685

Now multiplying the highest exponent prime factors to calculate the LCM of 35667 and 35685.

LCM(35667,35685) = 3³ × 1321¹ × 5¹ × 13¹ × 61¹
LCM(35667,35685) = 141419655